List of Publications
 On the existence and regularity of fundamental domains with least boundary area,
Differential Geom. 29 (1989), 623-663. PDF
 The isoperimetric inequality for a minimal surface with radially connected boundary,
Ann. Scuola Norm. Sup. Pisa (4), 17 (1990), 583-593. PDF
 Index, vision number, and stability of complete minimal surfaces,
Arch. Rat. Mech.
Anal. 109 (1990), 195-212. PDF
 On the analytic reflection of a minimal surface,
Pacific J. Math. 157 (1993), 29-35. PDF
 Isoperimetric inequalities on minimal submanifolds of space forms (with R. Gulliver),
Manuscripta Math. 77 (1992), 169-189. PDF
 The sharp isoperimetric inequality for minimal surfaces with radially connected
boundary in hyperbolic
space (with R. Gulliver), Inventiones Math. 109 (1992), 495-503. PDF
 Sharp isoperimetric inequalities for stationary varifolds and area minimizing flat chains mod k,
Kodai Math. J. 19 (1996), 177-190.
 Every stationary polyhedral set in R^n is area minimizing under diffeomorphisms,
Pacific J. Math. 175 (1996), 439-446.
 On the existence of higher dimensional Enneper's surface,
Comment. Math. Helvetici
71 (1996), 556-569.
 The isoenergy inequality for a harmonic map,
Houston J. Math. 24 (1998), 649-654.
 Nonexistence of certain complete minimal surfaces with planar ends (with M.
Comment. Math. Helvetici 75 (2000), 189-199.
 The isoperimetric inequality for minimal surfaces in a Riemannian manifold,
J. reine angewandte Math. 506 (1999), 205-214.
 Sufficient conditions for constant mean curvature surfaces to be round,
323 (2002), 143-156. PDF
 Embedded minimal surfaces and total curvature of curves in a manifold (with R. Gulliver),
Math. Res. Letters 10 (2003), 343-362.
 Relative isoperimetric inequality for domains outside a convex set,
Inequalities Appl. 1 (2003), 241-250.
 Isoperimetric Inequalities of Minimal Submanifolds, Global Theory of Minimal Surfaces,
Clay Math. Proceedings 2 (2005), 325-369.
Streaming Video of my MSRI Lecture
 The relative isoperimetric inequality in Cartan-Hadamard 3-manifolds (with M. Ritore),
J. reine angewandte Math. 605 (2007), 179-191.
 The double cover relative to a convex set and the relative isoperimetric inequality,
J. Aust. Math. Soc. 80 (2006), 375-382.
 Total Positive curvature of hypersurfaces with convex boundary (with M. Ghomi and M. Ritore),
J. Differential Geom. 72 (2006), 129-147. PDF
 The relative isoperimetric inequality outside a convex domain in R^n (with M. Ghomi and M. Ritore),
Calc. Var. PDE. 29 (2007), 421-429. PDF
 First eigenvalue of symmetric minimal surfaces in S^3 (with M. Soret),
Indiana Univ. Math. J. 58 (2009), 269-282. PDF
 Capillary surfaces in a convex cone (with S.-H. Park), Math. Zeitschrift 267 (2011), 875-886. PDF
 Higher dimensional minimal submanifolds generalizing the catenoid and helicoid (with J. Hoppe),
Tohoku Math. J. 65 (2013), 43-55. PDF
 Noncommutative minimal surfaces (with J. Arnlind and J. Hoppe), Lett. Math. Phys. 106 (2016), 1109-1129.
 New minimal surfaces in S^3 desingularizing the Clifford tori (with M. Soret), Math. Ann. 364 (2016),
 Stable capillary hypersurfaces in a wedge (with M. Koiso), Pacific J. Math. 280 (2016), 1-15. PDF
 On the area of minimal surfaces in a slab (with B. Daniel), Int. Math. Res. Notices 2016 (2016), 7201-7211.
 Density of a minimal submanifold and total curvature of its boundary (with R. Gulliver), Comm. Anal. Geom.
25 (2017), 545-556. PDF
 Mean curvature in manifolds with Ricci curvature bounded from below (with A. Fraser), Comment. Math.
Helv. 93 (2018), 55-69. PDF
 Higher dimensional Schwarz's surfaces and Scherk's surfaces (with J. Hoppe), Calc. Var. (2018) 57:107. PDF
 Characterizing the harmonic manifolds by the eigenfunctions of the Laplacian (with S. Kim and J. Park),
J. Geom. Phys. 126 (2018), 22-26. PDF
 Some minimal submanifolds generalizing the Clifford torus (with J. Hoppe), Math. Nach. 291 (2018), 2536-2542.
 The minimality of determinantal varieties (with M. Bordemann and J. Hoppe), J. reine angew. Math. 773 (2021), 153-164. PDF
 The periodic Plateau problem and its application, PDF, arXiv:2104.09087
[S1] The History of the Plateau Problem,
Proceedings of Workshop in Pure Mathematics,
12 (1992), 69-90.
[S2] Characterizing the sphere in terms of volume, area, eigenvalues, and energy,
Proceedings of Workshop in Pure Mathematics, 17 (1997), 5-17.
[S3] The isoperimetric inequality of a minimal surface,
Proceedings of the Second
International Workshop on Differential Geometry, 2 (1998), 55-66. PDF
[S4] In search of nonexistent minimal surfaces,
Trends in Mathematics, 1 (1998), 183-187.
[S5] Ray preserving metrics and applications,
Proceedings of the Sixth
International Workshop on Differential Geometry, 6 (2002), 61-72. PDF
[S6] Minimal surfaces in S^3 and Yau's conjecture,
Proceedings of the 10th
International Workshop on Differential Geometry, 10(2005), 183-188. PDF
[S7] Radial viewpoint on minimal surfaces, Surveys in Geometric Analysis and Relativity, 59-72,
Advanced Lectures in Mathematics, International Press. PDF